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The curve below is given by the parametric equations

x=sin(2t)y=sin(t)

The points P and Q lie on the curve and additionally satisfy y=|x|.

The tangents to the curve at P and Q are drawn, and the shaded area is enclosed between the curve and the tangents.

Find the exact value of the shaded area.


The area can be given in the form ab.

Give the value of ab.